There are two poles that have wires running from their tops to the base of the other pole.
The wires cross at point C. First set the heights of poles A and B using the sliders.
Then move slider n to vary the distance between the poles.
It seems that no matter how far apart the poles are, the height of point C is constant.
1- Can you prove it?
2- If you know the values of a and b, can you predict the height of C?